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ISSN:2394-3661 | Crossref DOI | SJIF: 5.138 | PIF: 3.854

International Journal of Engineering and Applied Sciences

(An ISO 9001:2008 Certified Online and Print Journal)

Nonlinear dynamics of system oscillations modeled by a forced Van der Pol generalized oscillator

( Volume 4 Issue 8,August 2017 ) OPEN ACCESS
Author(s):

A. V. Monwanou, L. A. Hinvi, C. H. Miwadinou, J. B. Chabi Orou

Abstract:

This paper considers the oscillations of system modeled by a forced Van der Pol generalized oscillator. These oscillations are described by a nonlinear differential equation. The amplitudes of the forced harmonic, primary resonance super-harmonic and sub-harmonic oscillatory states are obtained using the harmonic balance technique and the multiple time scales methods. Hysteresis and jump phenomena in the system oscillations are obtained. Bifurcation sequences displayed by the model for each type of oscillatory states are performed numerically through the fourth-order Runge-Kutta scheme.

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